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Finding the Third Proportional to 92,902 and 147,643

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Solution

The third proportional to 92,902 and 147,643 is: 234,639.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,902 : 147,643 = 147,643 : x
  2. Step 2: Convert to fraction form
    92,902/147,643 = 147,643/x
  3. Step 3: Cross multiply
    92,902x = 147,643 × 147,643
  4. Step 4: Simplify right side
    92,902x = 21,798,455,449
  5. Step 5: Solve for x
    x = 21,798,455,449/92,902
  6. Step 6: Final answer
    x = 234,639.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.